Aharonov-Bohm physics with spin. I. Geometric phases in one-dimensional ballistic rings
Abstract
We analytically calculate the spin-dependent electronic conductance through a one-dimensional ballistic ring in the presence of an inhomogeneous magnetic field and identify signatures of geometric and Berry phases in the general nonadiabatic situation. For an in-plane magnetic field, we rigorously prove the spin-flip effect presented by Frustaglia et al. [Phys. Rev. Lett. 87, 256602 (2001)], which allows us to control and switch the polarization of outgoing electrons by means of an Aharonov-Bohm flux, and derive analytical expressions for the energy-averaged magnetoconductance. Our results support numerical calculations for two-dimensional ballistic rings presented in the second paper [Frustaglia et al., following paper, Phys. Rev. B 69, 155327 (2004)] of this series.
- Publication:
-
Physical Review B
- Pub Date:
- April 2004
- DOI:
- 10.1103/PhysRevB.69.155326
- arXiv:
- arXiv:cond-mat/0402165
- Bibcode:
- 2004PhRvB..69o5326H
- Keywords:
-
- 73.23.-b;
- 03.65.Vf;
- 05.30.Fk;
- 72.25.-b;
- Electronic transport in mesoscopic systems;
- Phases: geometric;
- dynamic or topological;
- Fermion systems and electron gas;
- Spin polarized transport;
- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect
- E-Print:
- 33 pages, 9 figures. First part of a series of two articles